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In an experiment for the determination of the speed of sound in air using the resonance method, the length of the air column that resonates in the fundamental mode with a tuning fork is 0 . 1 m . When this length is changed to 0 . 35 m , the same tuning fork resonates with the first overtone. The end correction is

Options

  1. A0 . 012 m
  2. B0 . 025 m
  3. C0 . 05 m
  4. D0 . 024 m

Correct answer

B. 0 . 025 m

Step-by-step solution

λ 4 = e + l 1 3 λ 4 = e + l 2 e + l 2 = 3 e + 3 l 1 e ⁡ = l ⁡ 2 - 3 l ⁡ 1 2 = 0.35 - 0.3 2 = 0.05 2 = 0.025 m

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